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Finding the Third Proportional to 568,066.50 and 853,571.25

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Solution

The third proportional to 568,066.50 and 853,571.25 is: 1,282,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,066.50 : 853,571.25 = 853,571.25 : x
  2. Step 2: Convert to fraction form
    568,066.50/853,571.25 = 853,571.25/x
  3. Step 3: Cross multiply
    568,066.50x = 853,571.25 × 853,571.25
  4. Step 4: Simplify right side
    568,066.50x = 728,583,878,826.56
  5. Step 5: Solve for x
    x = 728,583,878,826.56/568,066.50
  6. Step 6: Final answer
    x = 1,282,567.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.